Encryption is as good as it's independent proofs. Even then, the proofs are only as good as the attention it gets from qualified, quality cryptographers. And again, only when used in a library that can independently prove it's algorithm and implementation is sound - open source.
You're stating truisms really. And you trust OTP (quite rightly) - ergo you trust encryption. My personal trust point is properly implemented AES-256 with a slow hashing function.
Correct. I wanted to qualify that you can't just 'trust encryption'. You must know what you're trusting, top to bottom; otherwise I would say that the trust is misplaced.